Question
The volume generated by the revolution of the eurve $y=a^{2}\left(a^{2}+x^{2}\right)^{-1}$ about its asymptote is(a) $\pi^{2} a^{3} / 2$(b) $\operatorname{ra}^{3} \cdot \hat{2}$(c) $\pi a^{2} / 2$(d) $\operatorname{maf} 2$
Step 1
The given curve is $y = a^2\left(a^2 + x^2\right)^{-1}$. As $x$ approaches infinity, the term $x^2$ dominates the denominator, and the curve approaches the horizontal line $y = 0$. So, the asymptote is the x-axis. Show more…
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